According to google, to treat your cat's asthma, your vet will usually prescribe corticosteroids to reduce inflammation in the lungs, maybe combined with bronchodilators to dilate the airways. Both of these types of drugs come in oral, inhaled, and injectable forms.
To be accurate, the poor cat in the video can't be treated against asthma because he also suffer of kidney impairment, and this treatment is not compatible with asthma treatment. He's living pretty well though, but sometimes as you saw he's annoyed by attacks